OPTIMAL HANKEL MODEL-REDUCTION FOR NONMINIMAL SYSTEMS

被引：101

作者：

SAFONOV, MG ^{[1
]}

CHIANG, RY ^{[1
]}

LIMEBEER, DJN ^{[1
]}

机构：

[1] UNIV LONDON IMPERIAL COLL SCI & TECHNOL,DEPT ELECT ENGN,LONDON SW7 2BT,ENGLAND

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 1990年 / 35卷 / 04期

关键词：

D O I：

10.1109/9.52314

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A basis-free descriptor system representation is shown to facilitate the computation of all minimum-degree and optimal k th-order all-pass extensions and Hankel-norm approximants. The descriptor representation has the same simple form for both the optimal and suboptimal cases. The method makes Hankel model reduction practical for nonminimal and nearly nonminimal systems by eliminating the ill-conditioned calculation of a minimal balanced realization. A simple, numerically sound method based on singular-value decomposition enables the results to be expressed in state-space form. © 1990 IEEE

引用

页码：496 / 502

页数：7